{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 逻辑回归"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sigmoid函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sigmoid(t):\n",
    "    return 1 / (1 + np.exp(-t))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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x7bg+lSqho3CXYW3ttvjY7YvnK9wlXBTuMqyt2dpE9axxVJaXBl2KSEYp3GXYamjtoHZ/u66SkVBKK9zNbKmZbTezOjO79STtrjczN7PqzJUokh1rT4zdfpa6ZCR8+g13MysEbgeuBhYAN5rZghTtyoHPA89lukiRbFiz9QBnTi5n1oRRQZciknHpnLkvBOrcfae7dwMPAMtStPsW8B2gM4P1iWTFoaNd1NRr7HYJr3TCfRrQkLTcmFj3OjO7AJjh7o9msDaRrFlX20zM0djtElrphHuq8U/99Y1mBcC/A//Q7wOZrTCzGjOraWlpSb9KkQxbs/UA08aO4KypFUGXIpIV6YR7IzAjaXk6sC9puRw4G3jSzOqBS4BVqd5UdfeV7l7t7tWVlfqotwSjvbOHp3ccZOnZkzHT2O0STumE+3pgnpmdZmYlwHJg1YmN7n7Y3Se6+2x3nw08C1zr7jVZqVhkkNbVNtEdjXHNOVOCLkUka/oNd3ePALcAa4Ba4CF332pm3zSza7NdoEim/XbLASZXlHHBjLFBlyKSNWmNlOTuq4HVvdbd1kfbRYMvSyQ7jnT28NSOFj5y8UxNpyehpk+oyrCyrraZ7kiM96lLRkJO4S7DyuoX9zO5oowLZ44LuhSRrFK4y7BxtCvCk6+0sPTsyeqSkdBTuMuwsa62ie6IrpKR4UHhLsPG6hf3U1VeSvUsdclI+CncZVg41hXhye0tXK0uGRkmFO4yLKx7uZkudcnIMKJwl2HhkU17mVxRxkWzxwddisiQULhL6LUe6+aPr7Rw7flT1SUjw4bCXULvty/uJxJzlp0/NehSRIaMwl1C75FNe5lXNZoFUzS8rwwfCncJtYbWDmp2t3HdBdM0vK8MKwp3CbVVL8SnHrj2PHXJyPCicJfQcnd+vWkv1bPGMWP8yKDLERlSCncJrdr9R9jRfFRvpMqwpHCX0PrlxkaKC433natwl+FH4S6h1B2J8atNe7ly/iTGjyoJuhyRIadwl1BaV9tE67FubrhoRv+NRUJI4S6h9GBNA5Mrynj3vMqgSxEJhMJdQmf/4eM89UoL1799OoUabkCGKYW7hM7DG/cSc/hQ9fSgSxEJjMJdQiUWcx6qaeCSOeOZNWFU0OWIBEbhLqHy3K5Wdh/q4MN6I1WGOYW7hMq9z+2moqyIpWdpUg4Z3hTuEhrN7Z38/qUD3FA9gxElhUGXIxIohbuExn3P7yEScz56yaygSxEJnMJdQqEnGuO+5/aw6IxKZk/UG6kiCncJhTVbD9B8pIuPXaqzdhFQuEtI3P1MPTPHj+Ty06uCLkUkJyjcJe9tbniN9fVtfOzSWfpEqkiCwl3y3sqnXqW8rIjlC2cGXYpIzkgr3M1sqZltN7M6M7s1xfa/N7NtZrbFzNaZmTo+ZUjUHzzG7186wEcvmcXo0qKgyxHJGf2Gu5kVArcDVwMLgBvNbEGvZpuAanc/F/gF8J1MFyqSyh1/2klRQQGffMfsoEsRySnpnLkvBOrcfae7dwMPAMuSG7j7E+7ekVh8FtCITZJ1h4528fOaRq67YCpVFWVBlyOSU9IJ92lAQ9JyY2JdXz4F/C7VBjNbYWY1ZlbT0tKSfpUiKdzxp110R2OsePecoEsRyTnphHuqyw88ZUOzjwLVwHdTbXf3le5e7e7VlZWaREFO3aGjXdz9TD3vO2cKc6vKgy5HJOek8w5UI5A8xN50YF/vRmZ2JfA14HJ378pMeSKprXx6J8d7onxh8bygSxHJSemcua8H5pnZaWZWAiwHViU3MLMLgP8ErnX35syXKfKGg0e7+Okzu/nAuVOZN0ln7SKp9Bvu7h4BbgHWALXAQ+6+1cy+aWbXJpp9FxgN/NzMNpvZqj4eTmTQVj61k65IlM/rrF2kT2ldGOzuq4HVvdbdlnT7ygzXJZJSQ2sHdz1Tz3XnT2Nu1eigyxHJWfqEquSV767ZjgFfeu8ZQZciktMU7pI3Nje8xqoX9vHpd53G1LEjgi5HJKcp3CUvuDv/8ug2Jo4u4eZFc4MuRyTnKdwlL6x6YR81u9v471edrjFkRNKgcJecd7ijh289uo3zpo9h+UUa+VEkHToFkpz37d+/TFtHD3fftFDjtYukSWfuktNq6lu5//k93HTZbM6aOibockTyhsJdclZHd4R//MUWpo0dwRevPD3ockTyirplJGf9z9/WsuvQMe799MWM0puoIgOiM3fJSetqm7j3uT2seNcc3vG2iUGXI5J3FO6Scw4c7uQff7GF+VMq+Psl6o4RORUKd8kpXZEoN9+7geM9Ub63/HxKiwqDLkkkL6kjU3LKN36zjU17XuOHH7lQw/mKDILO3CVn/OzZ3dz33B5uXvQ2rj5nStDliOQ1hbvkhDVbD3DbIy9xxZlVfGmJRnwUGSyFuwRufX0rn79/E+dOH8v3//oCfQpVJAMU7hKojXvauOmu9UwbN4I7P3ERI0v0NpBIJijcJTDP72rlb+54jvGjSrjnUxczflRJ0CWJhIZOkyQQT25v5uafbWTK2DLu/8wlTKooC7okkVDRmbsMubufqeemu9Yze+IoHlxxqYJdJAt05i5DpisS5V8ereWeZ3dz5fwq/mP5BRozRiRL9D9LhsSug8f43P0beWlvOyvePYcvLz1TV8WIZJHCXbIqFnPue34P/3t1LcVFBfz4Y9VctWBS0GWJhJ7CXbJmR9MRvvqrF1lf38Zlcyfw3evPY+rYEUGXJTIsKNwl45raO/l/j7/Cg+sbKC8r5rvXn8v1b5+OmbphRIaKwl0ypqm9k//6cz13P1NPJBbjY5fO5nNXzGXC6NKgSxMZdhTuMmhb9x3mv/5czyOb9xKNOe8/dyr/sOR0Zk0YFXRpIsOWwl1OycGjXazavI9fbGhk2/52RhQX8tcLZ3LTO09TqIvkAIW7pMXd2XnwGI9va+Lx2iY27G4j5nDOtDF849qzWHb+VMaO1PABIrlC4S4pRWPOzpajrK9v4/ldh3h+Vyv7DncCcNbUCj53xTyuOWcKZ0zWhBoiuSitcDezpcB/AIXAHe7+7V7bS4GfAm8HDgEfdvf6zJYq2eDuNB/pov7gMV5tOcbWfYfZtr+dl/cf4XhPFIDK8lIWnjaem+dMYPGZVbqcUSQP9BvuZlYI3A5cBTQC681slbtvS2r2KaDN3eea2XLgX4EPZ6NgSV8kGuPw8R6aj3TR1N5J85EuWhK39x/uZM+hDna3HqOzJ/b6fcrLilgwpYLlC2dw1tQxVM8ax6wJI3UZo0ieSefMfSFQ5+47AczsAWAZkBzuy4CvJ27/Avi+mZm7ewZrzVuxmBOJOdGYE4nFEt/jyz3RNy9Hoon1sRg9kRidkRjHu6N0RaIc747S2RPleE+Mzp7o619Hu6IcPt5De2cP7ccTX50RjnZFUtYzZkQxkypKmTl+FO+aN5FZE0cxe8JIZk8YxfRxIxTkIiGQTrhPAxqSlhuBi/tq4+4RMzsMTAAOZqLIZA+tb+A/n3qV139rOHj8eV9f5w6Ox78n/Xo50ebE9jfanmjXe50nbUt6Difpud78mK+3TfwTicWIZelXXGlRAWXFhYwqKaRiRDFjRhQzY/xIxowopqIsvjxmRBGTKsqoqiilqryMyvJSyooLs1OQiOSMdMI91Wlc77hKpw1mtgJYATBz5sw0nvqtxo0q4czJFWBvPKmZYYClWBdvZ4l1JLUzTpygWqLhm+//RhtLPB4ptp344c3e/JyJR6S40CgsMIoKjKLCAooK3lguLEhaLjSKCgre2FZoFBcUMKIkHuBlxYWMSPpeWlRAgQbeEpE+pBPujcCMpOXpwL4+2jSaWREwBmjt/UDuvhJYCVBdXX1K57NXLZikgadERPqRzmQd64F5ZnaamZUAy4FVvdqsAj6euH098Af1t4uIBKffM/dEH/otwBril0Le6e5bzeybQI27rwJ+AtxjZnXEz9iXZ7NoERE5ubSuc3f31cDqXutuS7rdCXwos6WJiMip0hyqIiIhpHAXEQkhhbuISAgp3EVEQkjhLiISQhbU5ehm1gLsPsW7TyQLQxtkgOoaGNU1cLlam+oamMHUNcvdK/trFFi4D4aZ1bh7ddB19Ka6BkZ1DVyu1qa6BmYo6lK3jIhICCncRURCKF/DfWXQBfRBdQ2M6hq4XK1NdQ1M1uvKyz53ERE5uXw9cxcRkZPI2XA3sw+Z2VYzi5lZda9tXzGzOjPbbmbv7eP+p5nZc2a2w8weTAxXnOkaHzSzzYmvejPb3Ee7ejN7MdGuJtN1pHi+r5vZ3qTarumj3dLEPqwzs1uHoK7vmtnLZrbFzH5lZmP7aDck+6u/n9/MShOvcV3iWJqdrVqSnnOGmT1hZrWJ4/8LKdosMrPDSa/vbakeKwu1nfR1sbjvJfbXFjO7cAhqOiNpP2w2s3Yz+2KvNkO2v8zsTjNrNrOXktaNN7PHEln0mJmN6+O+H0+02WFmH0/VZkDcPSe/gPnAGcCTQHXS+gXAC0ApcBrwKlCY4v4PAcsTt38E3Jzlev8vcFsf2+qBiUO4774OfKmfNoWJfTcHKEns0wVZrmsJUJS4/a/Avwa1v9L5+YG/A36UuL0ceHAIXrspwIWJ2+XAKynqWgQ8OlTHU7qvC3AN8Dvic5FdAjw3xPUVAgeIXwceyP4C3g1cCLyUtO47wK2J27emOu6B8cDOxPdxidvjBlNLzp65u3utu29PsWkZ8IC7d7n7LqCO+CTer7P4nHhXEJ+sG+Bu4Lps1Zp4vhuA+7P1HFnw+sTn7t4NnJj4PGvcfa27n5i1+1nis3oFJZ2ffxnxYwfix9Jiy/Ls4e6+3903Jm4fAWqJz1GcD5YBP/W4Z4GxZjZlCJ9/MfCqu5/qhyMHzd2f4q2z0CUfR31l0XuBx9y91d3bgMeApYOpJWfD/SRSTdjd++CfALyWFCSp2mTSu4Amd9/Rx3YH1prZhsQ8skPhlsSfxnf28WdgOvsxm24ifpaXylDsr3R+/jdN/A6cmPh9SCS6gS4Ankux+VIze8HMfmdmZw1RSf29LkEfU8vp+wQriP11wiR33w/xX95AVYo2Gd93aU3WkS1m9jgwOcWmr7n7I33dLcW6U5qwOx1p1ngjJz9rv8zd95lZFfCYmb2c+A1/yk5WF/BD4FvEf+ZvEe8yuqn3Q6S476AvnUpnf5nZ14AIcG8fD5Px/ZWq1BTrsnYcDZSZjQZ+CXzR3dt7bd5IvOvhaOL9lF8D84agrP5elyD3VwlwLfCVFJuD2l8DkfF9F2i4u/uVp3C3dCbsPkj8T8KixBlXqjYZqdHiE4J/EHj7SR5jX+J7s5n9iniXwKDCKt19Z2Y/Bh5NsSmd/ZjxuhJvFL0fWOyJzsYUj5Hx/ZVCxiZ+zzQzKyYe7Pe6+8O9tyeHvbuvNrMfmNlEd8/qGCppvC5ZOabSdDWw0d2bem8Ian8laTKzKe6+P9FN1ZyiTSPx9wZOmE78/cZTlo/dMquA5YkrGU4j/hv4+eQGidB4gvhk3RCfvLuvvwQG60rgZXdvTLXRzEaZWfmJ28TfVHwpVdtM6dXP+Vd9PF86E59nuq6lwJeBa929o482Q7W/cnLi90Sf/k+AWnf/tz7aTD7R929mC4n/Pz6U5brSeV1WAR9LXDVzCXD4RHfEEOjzr+cg9lcvycdRX1m0BlhiZuMS3ahLEutO3VC8g3wqX8RDqRHoApqANUnbvkb8SoftwNVJ61cDUxO35xAP/Trg50Bpluq8C/jbXuumAquT6ngh8bWVePdEtvfdPcCLwJbEgTWld12J5WuIX43x6hDVVUe8X3Fz4utHvesayv2V6ucHvkn8lw9AWeLYqUscS3OGYB+9k/if41uS9tM1wN+eOM6AWxL75gXib0y/YwjqSvm69KrLgNsT+/NFkq5yy3JtI4mH9ZikdYHsL+K/YPYDPYn8+hTx92nWATsS38cn2lYDdyTd96bEsVYHfHKwtegTqiIiIZSP3TIiItIPhbuISAgp3EVEQkjhLiISQgp3EZEQUriLiISQwl1EJIQU7iIiIfT/AfDvTn1iOeRyAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-10, 10, 500)\n",
    "y = sigmoid(x)\n",
    "\n",
    "plt.plot(x, y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 逻辑回归损失函数和梯度表达式"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "损失函数表达式：$J(\\theta)=-\\frac{1}{m}\\sum\\limits_{i=1}^{m}y^{(i)}log(\\sigma(X_b^{(i)}\\theta))+(1-y^{(i)})log(1-\\sigma(X_b^{(i)}\\theta)$\n",
    "\n",
    "损失函数梯度表达式：$\\frac{1}{m}\\sum\\limits_{i=1}^{m}(\\sigma(X_b^{(i)}\\theta)-y^{(i)})X_j^{(i)}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 准备数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import datasets\n",
    "\n",
    "iris = datasets.load_iris()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = iris.data\n",
    "y = iris.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = X[y < 2, :2]\n",
    "y = y[y < 2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 2)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100,)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='r')\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 使用逻辑回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "from common.model_selection import train_test_split\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, seed=666)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression()"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from logistic.LogisticRegression import LogisticRegression\n",
    "\n",
    "log_reg = LogisticRegression()\n",
    "log_reg.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_reg.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.92972035, 0.98664939, 0.14852024, 0.01685947, 0.0369836 ,\n",
       "       0.0186637 , 0.04936918, 0.99669244, 0.97993941, 0.74524655,\n",
       "       0.04473194, 0.00339285, 0.26131273, 0.0369836 , 0.84192923,\n",
       "       0.79892262, 0.82890209, 0.32358166, 0.06535323, 0.20735334])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_reg.predict_probability(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_reg.predict(X_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 决策边界"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 3.01796521, -5.04447145])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_reg.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.6937719272911228"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_reg.intercept_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$\\theta^T\\cdot x_b = 0 \\quad 如果x有两个特征\\quad \\theta_0+\\theta_1x_1+\\theta_2x_2=0 \\Rightarrow x2=\\frac{-\\theta_1x_1-\\theta_0}{\\theta_2}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "def x2(x1):\n",
    "    return (-log_reg.coef_[0] * x1 - log_reg.intercept_) / log_reg.coef_[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "x1_plot = np.linspace(4, 8, 1000)\n",
    "x2_plot = x2(x1_plot)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "绘制决策边界"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/f+FgZc23nfXmKiDHcwt4YU4GfV9azOL1e/lz/9Z8NaInA85rqIldWUaHZaxmZc231ps7mojw5U/beW5WBruP5PLbC5swakAbGtbSlgHKejosYzUra7613tyxVmcdYuz0VH7cdojz42vx5DXt6Zx0jt1hKRfQOnensLLmW+vNHWfP0ZP8ffY6PluZTb3qlXnh+vP5Xad4KlTQ4RcVXprcrWZlzbfWmztGbkEhU77ZwhsLMsktKOSens14oHcLalTRuyEpe+gFVatZWfOt9ea2ExHmpe2m/8tLeG5WBt2a1WHuiJ6MvqqtJnZlK7/J3RhTxRjzgzFmtTEm1Rgztphl7jDG7DXG/OSb7rYm3Ag0ZAhMnnxm98XJk0NzQdPftq3ctyJzz1Fun7Kcuz9cQWxMBT64syvv3n4RTetVszs0pQI6c88F+ohIR+ACYIAxplsxy30iIhf4pndDGmWks7JFrb9tf/MNZGd774uane19fMrw4RAb6038sbHex6ezs4TTwQ6fyGfs9FT6v7KUVdsO8sSgdsx6+DJ6tqpvd2hK/cLvmLt4y2mO+R5W9E0OvoOy+sXw4TBp0q+PCwvPfFzScxMn2lvC6VCFHuHfy7fx4tz1HMzJ4+auiTxyRSvqVq9sd2hKnSWgUkhjTAywEmgBvCkio4o8fwfwLLAXWA+MEJGs0rYZNaWQdoqN9SbtomJ899ss6bmCAntLOB1o2ab9jJ2eRvrOI3RtWocnr2lH+8a17A5LRaFASyHLVOdujKkNfAE8KCJrT5tfFzgmIrnGmHuBG0SkTzHrDwOGASQmJnbeWtwvuAqd8n76UcQ7XFLce8MY7xBQMKzcdohlH8zh2ZkZzPh5J01qV+UvA9sysIN+slTZx5I6dxE5ZIxZBAwA1p42f/9pi70DPF/C+pOByeA9cy/LvlU5xMSU78wd7C3hdIATeYVMWryRtxdvxBgY0a8Vwy5vRtVKMXaHplRAAqmWqe87Y8cYUxXoB2QUWabRaQ8HA+mhDFKV06lx7OLml/Yc2FvCaSMRYdrqHfR5cRGvzd/Ale0bsuCRXjzcr6UmdhVRAjlzbwR84Bt3rwD8R0RSjDHjgBUiMg14yBgzGCgADgB3WBWwKoOJE71fJ0/2nqXHxHiT96n5pT1nZdteh7YEXrv9MGOnp7J8y0HaN67JqzddSNemdWyNSany8nvmLiJrRORCETlfRM4TkXG++U/4EjsiMlpE2otIRxHpLSIZpW81ygRT9uevXDEYPXpAfLx32/Hx3seh4i9uK8tDy2jfsVwe+3wN17zxNWlZx+GHDswacSk39K4TSRWaSp1JRGyZOnfuLFHho49E4uJEvJcQvVNcnHe+P/fdd+Z6p6b77gts36Wt7y8uO+MOk9z8QnlnyUY574nZ0nz0DLnlhVSpVjuvXC9ZqXDBO2LiN8dqV0irBVP2V1opY0GB/32Xtn58vHUdJYONOwwWrtvD31LS2LT3OL1a1+fxQe3oe1H1SKvQVFHIklLIUIqa5B5M2V9p5XaB/NxKW9+Y0uOyM24Lbdp7jL+lpLFw3V6a1avG44Pa0bvNuUBEVWiqKKYtf50imLI/f6WMwaxf0pl7KDpKBhu3BY6czOf1+Rt4/9stVImNYczAttx+STKVYn+97BQBFZpKBUy7QlotmLI/f+WKwaxvZUfJYOMOIY9H+GT5NvpMWMS7X2/mugvjWTCyF3+4vNkZiR0cXaGpVNkFMjBvxRQ1F1RFvFfkkpJEjPF+LcsVuvvuE4mJ8V7di4kp+0XJ0tb3F5edcYfA8s37ZdBrSyVpVIr8buI3sibrkN91gnnJSoUDekFVRaudh0/w7MwMpq3eQcOaVRg9sA2DOzbWlgHKFQIdc9dhGbcrrcY+gtvuFudkfiGvzd9AnwmLmZO6i4f6tGDByJ5ce0ET2xO7yw61igB6QdXNSmutCxHZdrc4IsKstbsYPyOd7YdOcHWHRjx2VRsS6sT5XzkMIrTDsYpwOizjZqXVqkPEtd0tTvrOI4ydnsqyTQdo07AGT17Tnu7N69od1hkisMOxcjAthVTevi1lme/vOQc5cDyPF+eu4+MftlGrakWe/s153HRRArExzhtpLM+PQalgaXJ3M3+F2xFY1J1f6OGjZVt5+av1HM8r5LbuyYzo14pacc69GbXWzys7OO80R4VOaYXbEVjUvXTDXga+upSx09PomFCb2Q9fxlOD2zs6sUNEHmrlAnrm7maBtNZ1WNvd4mzZd5ynZ6QzL303SXXjeOe2LvRre67tFTCBcmiHY+VyeuYeqGBq2fyta2Vb39I4qO1ucY7lFvDcrAyufHkJ323cx6gBbZg74nKuaNeg3IndrpJEf4c6UkslIzXuqBDIJ52smCLqE6rBtL/1t66V7XGDidtGhYUe+XRFlnR5+itJGpUij/znJ9l9+ETQ23Xq4XBqXP5EatyRDv2EaggFU8vmb10r2+NGYA3eqm0HeWp6GquzDnFBQm2eGtyeCxJqh2TbTj0cTo3Ln0iNO9Jpy99QCqYXrL91rWyPG0E9bHcfOcnzszL476rtnFujMo9d1YbfXNCEChVCN67u1MPh1Lj8idS4I522HwilkmrWAqll87duSW1wQ9EeN5i4w+RkfiFvLsyk94RFpKzZyfBezVk4shfXdYoPaWIH5x4Op8blT6TGHS00uQcimFo2f+ta2R7XwTV4IsKc1F1c+fISXpizjktb1GPen3ry6IA2VKtsTRGXUw+HU+PyJ1LjjhqBDMxbMUXUBVWR4HrB+lvXyva4Duxhm7HziNzyzneSNCpFrnhpkSxdvzds+3bg4RAR58blT6TGHckI8IKqJvdwiNQ/DCF28HiuPPHlz9Js9Aw5/6k58v43myW/oNDusFwvmLeIJm/n0eTuFJFaRhlC+QWF8uG3m6Xj2DnS9LEUefzLn+XAsVy7w4oKwbxFtNTRmQJN7lotY7VILaMMkW837mPc9DQydh2le7O6PDm4HW0a1rQ7rKgRzFtESx2dSbtCOkUwLQH9rVvcb21p88Mo60AO42ekMzt1F/HnVOWtWzvRv33DiGkZ4BbBvEW0m2Vk0+RutWBaAvpbNyam5NMymxzPLWDSoo1MXrqJGGP4c//W3HVpU6pUtC+maBbMW0S7WUY2LYW0WqSWUZaRiPDlqu30eXERbyzMZOB5DVk4shf3926hid1GwbxFtNQxwgUyMG/FFDUXVEVcXy2zOuug/PbNryVpVIpc8/pSWbFlf9hjUCXTahl3IVQXVI0xVYAlQGW8wzificiTRZapDHwIdAb2AzeKyJbSths1F1RdbM/Rk7wwex2frsymXvXKPDqgNddb8MlSpdSvQtl+IBfoIyIdgQuAAcaYbkWWuQs4KCItgJeB58sasO389S61q7epv3bANsSdW1DI24s30mfCYr78aTv39GzGwpE9uaFLwi+JPZjdBvuSS2PXulZy6ltX2SyQ0/tTExAH/AhcXGT+HKC77/tYYB++pmQlTY4alvFX0GtXwa+/IuUwx+3xeGRe2i7p+fcFkjQqRe6c8oNs2nvsrOWC2W2wL7k0dq1rJae+dZV1COWHmIAY4CfgGPB8Mc+vBeJPe7wRqFfaNh2V3JOSis8oSUmBPW+VUwOlRaeYmLDHvWH3Efn9e99L0qgU6TNhoSzM2F3issHsNtiXXBq71rWSU9+6yjqBJvcyfYjJGFMb+AJ4UETWnjY/FegvItm+xxuBriKyv8j6w4BhAImJiZ23FldnZQd/vUvt6m3qrx1wGOI+fCKfV+dt4MPvtlC1Ugwj+rXi992TqBhT8oheMLsN9iWXxq51reTUt66yjiUtf0XkELAIGFDkqWwgwbfjWKAWcKCY9SeLSBcR6VK/fv2y7Npa/nqX2tXb1F87YAvjLvQI//p+G70nLGLKt5u54aIEFo3sxZ2XNi01sQe526BfslVxObW9rVPfusp+fpO7Maa+74wdY0xVoB+QUWSxacDtvu+vBxZIWf4lsJu/gl67Cn79FSlbFPf3m/Zzzetf85cvfqbFudVJefBSnvltB+pWrxxQ2MEcrmBfslVxObXm26lvXeUA/sZtgPOBVcAavGPrT/jmjwMG+76vAnwKZAI/AM38bddRY+4i/gt67Sr49VekHMK4sw4cl+FTV0rSqBTp/sw8mb56u3g8nnKFHczhCvYlWxWXU2u+nfrWVdZAu0KGmIt/Q3JyC+Slueuk1ZiZ0vqvM+WVr9ZLTm6BbfHYmaxK27aVcbnxj46yhib3UHJpPZnH45FpP22X7s/Mk6RRKfLAv36U7IM5tsZkZ2lfadu2Mi43lmgq6wSa3LXlbyBc2Pt07fbDjJuexg9bDtC+cU2evKY9XZvWsTssv4fayh9FadsG6+Kya10VmQKtltHkHggX1ZPtO5bLi3PX8e/lWdSJq8Sf+7fm/7okEOOQlgF2lvaVtm2wLi43lmgq61hSChm1XFBPllfg4d2lm+g9YRGfrsjmrh5NWTCyFzd1TXRMYgd7S/tK27aVcbmxRFPZT5N7ICK8nmzRuj0MeHUJT89Ip1PiOcz+4+X8dVA7alWtaHdoZ7GztK+0bVsZlxtLNJUDBDIwb8UUURdURSKyJGHjnqMydMoPkjQqRXq9sFDmp++yO6SAaLWMVsuokqEXVKPXkZP5vLEgkynfbKZybAwP923J7ZckUylW/1FTKtLpmHsU8niET5Zvo8+ERbyzdBPXXRjPwpG9+MPlzVyV2P21BHbbfsG6tr3aDtjFAjm9t2KKuGEZh1u+eb8Mem2pJI1KkesmfiNrsg7ZHZIl/LUEdtt+RayrZdca+ciEDstEh52HT/DcrAz+99MOGtaswuiBbRjcsTGmtPaKESw2tuQbPhcUuG+/YF0tu9bIR6ZAh2ViwxGMCr2T+YW8s2QTExdtpFCEh/q04N5ezYmr5O4faXEJtrT5kb5fgG3byjbf7u0qZ3B3JnAhEWH22l2Mn5lO9sETDOzQkNFXtSWhTpz/lV0gJqbkM2g37he8NevFnWEHW8tu1XaVM7jnKlsUSN95hJvfWcZ9U3+keuVYPv5DNyYO6Rw1iR38twR2237Bulp2rZF3uUAG5q2Y9IJq4PYfy5UxX6yRpo+lyAVj58g/v9si+QWFdodlG38tgd22XxHratm1Rj7yoF0hI19eQaH84+tN0uHJ2dJs9Ax58n9r5eDx3LDt365ffCt7wVu5b6XCQZN7hFuyfo/0e3GRJI1KkSHvLJN1u46Edf92lckFs99gyxW1NFBFgkCTu5ZCOszW/cd5ekY6X6XtJqluHH+9uh392p4b9tJGu8rkgtlvsOWKWhqoIoGWQkaYY7kFvLkwk/eWbqZijGHUgDbceWkylWPDUI5RDLvK5ILZb7DliloaqNxEk7vNPB7hi1XbeX52BnuO5vK7TvE8OqA1DWpWsTUuu8rkgtlvsOWKWhqo3ERLIW20attBfjvpWx75dDWNa1fly/t78OINHW1P7GBfmVww+w22XFFLA5WrBDIwb8UUzRdUdx0+ISM+WSVJo1Lkoqe/ks9XZklhocfusM6i1TJ6MVU5D1ot4zwn8grkjQUbpO3js6TlX2bK87PS5ejJfLvDsoVV/cs1OSu3CzS565h7GIgIc9N2M35GOtsO5HBluwaMubotSXWr2R2aLaZO9Q6V5OR4H2/d+uvQyZAh5V8Xyr9dpdxGSyEttn73UcZNT+PrzH20alCdJwa159KW9ewOy1bBlByWti5oKaNyPy2FtNmhnDxe/mo9H32/jeqVYxk7uD1DLk4kNkavYQdTcliedbWUUUUjTe4hVlDo4ePlWbw0dx2HT+Qz5OIk/nRFK86pVsnu0BwjmJJDf+tqKaNSXnoaGULfbtzHoNe/5vEv19KmYU1mPnwZf/vNeZrYiwim5LC0dbWUUalf6Zl7CGQdyOGZmenMWruL+HOq8tatnejfvqFr74YUrFMXN8eM8Q6ZJCZ6E3AgFz0DWbc821XKbfxeUDXGJAAfAg0BDzBZRF4tskwv4H/AZt+s/4rIuNK264YLqjl5BUxcuJHJSzcRYwz3927O3Zc1o0pFe1oGKKXcL9ALqoEMyxQAj4hIW6AbcL8xpl0xyy0VkQt8U6mJPdKJCF+u2k6fCYt5Y2GpAKVvAAALvklEQVQmA89ryMKRvXigT8uISuxTp3qrT+y4831p+7YzLqu48TUpZ/M7LCMiO4Gdvu+PGmPSgSZAmsWxOdKa7EOMnZ7Gyq0HOT++Fm8OuZDOSXXsDqvMgqk1t3Lf4L5adTuPtYpeZapzN8YkA0uA80TkyGnzewGfA9nADmCkiKSWtq1IG5bZc/QkL8xex2c/ZlO3WmUeHdCa6zvFU6FCZI6r29neNtpq1bWVsAqlQIdlAk7uxpjqwGJgvIj8t8hzNQGPiBwzxgwEXhWRlsVsYxgwDCAxMbHz1uLe8Q6TV+Dh/W8389r8THILCrmzR1Me6NOCGlUq2h1aUCpU8N6OoihjwOOxb99gX1xWsfNYK/cJ5Zg7xpiKeM/MpxZN7AAickREjvm+nwlUNMac9TFMEZksIl1EpEv9+vUD2bVtRIT56bvp/8oSnpmZwcVN6zB3RE9GD2wb8YkdSq79DkdNeGn7tjMuq7jxNSnn85vcjbee7z0gXUReKmGZhr7lMMZ09W13fygDDafMPce4fcpy7vpgBRUMvD/0It674yKa1nNPLxg7a8KjrVbdja9JRQB/ncWASwEB1gA/+aaBwL3Avb5lHgBSgdXAMuASf9t1YlfIQzl5MnZaqjQfPUPOe3K2vLt0k+QVFNodlmXs7KAYbZ0d3fialD3Qe6gGrtAjfLI8iwlz13EwJ4+bLkpk5JWtqFu9st2h+TV1amR+aGf4cJg82XvnpJgYb/XIxIl2R6WU82njsAB9v2k/Y6enkbbzCF2T6/Dk4Ha0b1zL7rACEqkldsOHw6RJvz4uLPz1sSZ4pUIjas/ctx86wTMz05mxZieNa1XhL1e35eoOjSKqZUCkltjFxpZ8r9OCgvDHo1Qk0TP3EpzIK+TtJRt5a/FGAP7YryX3XN6cqpUi55OlpwTTOtdOxSX20uYrpcouapK7iJCyZifPzkxnx+GTDDq/EaMHtqVJ7ap2h1ZuwbTOtVNMTMln7kqp0IiKlr9rtx/mxreX8eDHq6gdV4n/3NOdN27pFNGJHSK3xO70VgOBzFdKlZ2rz9z3H8tlwtx1/Ht5FufEVeLZ6zpwQ5cEYiK0ZUBRwbTOtdOpi6ZaLaOUdVx55p5f6OHdpZvoNWERn67I5s4eTVk4shc3d020JrHb2PJvyBDvxVOPx/u1aGJ3ajfCHj0gPt77Efz4eO9jN3Pqz0G5WCDF8FZMVn2IaWHGbukzYaEkjUqR2977XjbsPmrJfn7x0UcicXEi3vYh3ikuzhGfUnFqaE6NyyrR9nqVtYi2DzFt3necv6WksSBjD03rVePxQW3p3fpc60sbHVyP6NTQnBqXVaLt9SprhbwrZKiFKrkfPZnPGwsy+cc3m6kcG8NDfVtwxyVNqRQbphEnB7f8c2poTo3LKtH2epW1XF/n7vEIn63M5u9zMth/PI//6xzPn/u3oX6NMLcMcHA9olNDc2pcVom216ucISIvqK7ceoBr3/yGRz9fQ1Ldavzv/h78/fqO4U/s4Oh6RKeG5tS4rBJtr1c5RCAD81ZM5b2g+vnKLEkalSIXj58nX67KFo/HU67thJSDW/45NTSnxmWVaHu9yjq49YLq4Zx8PvhuC3df1pS4ShE7qqSUUuUS0jsxOUmtuIo81LelJnZliWDq0bWWXTmJZkilfIJpoRyp7ZeVe0XcsIxSVgmmHl1r2VW4uHZYRimrBNNCOVLbLyv30uSulE9JdeeB1KMHs65SVtDkrpRPMPXoWsuunEaTu1I+Q4Z42xAnJXlbAyQleR8HckE0mHWVsoJeUFVKqQiiF1SVUiqKaXJXSikX0uSulFIupMldKaVcSJO7Ukq5kCZ3pZRyIb/J3RiTYIxZaIxJN8akGmMeLmYZY4x5zRiTaYxZY4zpZE24SimlAhHImXsB8IiItAW6AfcbY9oVWeYqoKVvGgZMCmmUqty0Da1S0clvcheRnSLyo+/7o0A60KTIYtcCH/puFLIMqG2MaRTyaFWZnGpDu3Wr9wbNp9rQaoJXyv3KNOZujEkGLgS+L/JUEyDrtMfZnP0HQIXZmDG/9hc/JSfHO18p5W4BJ3djTHXgc+CPInKk6NPFrHJWXwNjzDBjzApjzIq9e/eWLVJVZtqGVqnoFVByN8ZUxJvYp4rIf4tZJBtIOO1xPLCj6EIiMllEuohIl/r165cnXlUG2oZWqegVSLWMAd4D0kXkpRIWmwbc5qua6QYcFpGdIYxTlYO2oVUqegVyD9UewO+Bn40xP/nm/QVIBBCRt4CZwEAgE8gBhoY+VFVWp9rNjhnjHYpJTPQmdm1Dq5T7actfpZSKINryVymlopgmd6WUciFN7kop5UKa3JVSyoU0uSullAtpcldKKRfS5K6UUi5kW527MWYvsLWcq9cD9oUwnFBxalzg3Ng0rrLRuMrGjXEliYjf/i22JfdgGGNWBFLEH25OjQucG5vGVTYaV9lEc1w6LKOUUi6kyV0ppVwoUpP7ZLsDKIFT4wLnxqZxlY3GVTZRG1dEjrkrpZQqXaSeuSullCqF45O7MSbGGLPKGJNSzHOVjTGfGGMyjTHf++7x6oS47jDG7DXG/OSb7g5TTFuMMT/79nlWP2XfzVRe8x2vNcaYTg6Jq5cx5vBpx+uJMMVV2xjzmTEmwxiTbozpXuR5u46Xv7jsOl6tT9vnT8aYI8aYPxZZJuzHLMC47DpmI4wxqcaYtcaYj40xVYo8b1kOC+RmHXZ7GEgHahbz3F3AQRFpYYy5CXgeuNEBcQF8IiIPhCmW0/UWkZLqZ68CWvqmi4FJvq92xwWwVEQGhSmWU14FZovI9caYSkCR+1bZdrz8xQU2HC8RWQdcAN6TG2A78EWRxcJ+zAKMC8J8zIwxTYCHgHYicsIY8x/gJuD90xazLIc5+szdGBMPXA28W8Ii1wIf+L7/DOjruy2g3XE51bXAh+K1DKhtjGlkd1B2MMbUBC7HewtJRCRPRA4VWSzsxyvAuJygL7BRRIp+ENHu91hJcdklFqhqjInF+0e66L2lLcthjk7uwCvAo4CnhOebAFkAIlIAHAbqOiAugN/5/i39zBiTUMpyoSTAXGPMSmPMsGKe/+V4+WT75tkdF0B3Y8xqY8wsY0z7MMTUDNgLTPENr71rjKlWZBk7jlcgcUH4j1dRNwEfFzPfrvfYKSXFBWE+ZiKyHZgAbAN24r239Nwii1mWwxyb3I0xg4A9IrKytMWKmWdp+U+AcU0HkkXkfGAev/5ltloPEemE91/j+40xlxd5PuzHy8dfXD/i/Uh1R+B14MswxBQLdAImiciFwHHgsSLL2HG8AonLjuP1C99Q0WDg0+KeLmZeWEry/MQV9mNmjDkH75l5U6AxUM0Yc2vRxYpZNSTHy7HJHe+NuQcbY7YA/wb6GGM+KrJMNpAA4Pu3pxZwwO64RGS/iOT6Hr4DdLY4plP73eH7ugfvmGPXIov8crx84jn738SwxyUiR0TkmO/7mUBFY0w9i8PKBrJF5Hvf48/wJtWiy4T7ePmNy6bjdbqrgB9FZHcxz9nyHvMpMS6bjlk/YLOI7BWRfOC/wCVFlrEshzk2uYvIaBGJF5FkvP9qLRCRon/1pgG3+76/3reMpWcJgcRVZIxxMN4Lr5YyxlQzxtQ49T1wJbC2yGLTgNt8FQ3d8P6buNPuuIwxDU+NMxpjuuJ9X+63Mi4R2QVkGWNa+2b1BdKKLBb24xVIXHYcryJupuShj7Afs0DisumYbQO6GWPifPvuy9m5wLIcFgnVMmcwxowDVojINLwXnf5pjMnE+9fuJofE9ZAxZjBQ4IvrjjCE0AD4wvf+jQX+JSKzjTH3AojIW8BMYCCQCeQAQx0S1/XAfcaYAuAEcJPVf6R9HgSm+v6d3wQMdcDxCiQuu44Xxpg44ArgntPm2X7MAogr7MdMRL43xnyGd0ioAFgFTA5XDtNPqCqllAs5dlhGKaVU+WlyV0opF9LkrpRSLqTJXSmlXEiTu1JKuZAmd6WUciFN7kop5UKa3JVSyoX+HwY4KPFrnf++AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='r')\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='b')\n",
    "plt.plot(x1_plot, x2_plot)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X_test[y_test == 0, 0], X_test[y_test == 0, 1], color='r')\n",
    "plt.scatter(X_test[y_test == 1, 0], X_test[y_test == 1, 1], color='b')\n",
    "plt.plot(x1_plot, x2_plot)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 绘制决策区域"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 绘制逻辑回归的决策区域"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_decision_boundary(model, axis):\n",
    "    x0, x1 = np.meshgrid(\n",
    "        np.linspace(axis[0], axis[1], int((axis[1] - axis[0]) * 100)).reshape(-1, 1),\n",
    "        np.linspace(axis[2], axis[3], int((axis[3] - axis[2]) * 100)).reshape(-1, 1)\n",
    "    )\n",
    "    \n",
    "    X_new = np.c_[x0.ravel(), x1.ravel()]\n",
    "    \n",
    "    y_predict = model.predict(X_new)\n",
    "    zz = y_predict.reshape(x0.shape)\n",
    "    \n",
    "    from matplotlib.colors import ListedColormap\n",
    "    custom_cmap = ListedColormap(['#FFCCCC', '#FFFF99', '#CCCCFF'])\n",
    "    plt.contourf(x0, x1, zz, linewidth=5, cmap=custom_cmap)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_boundary(log_reg, axis=[4, 7.5, 1.5, 4.5])\n",
    "plt.scatter(X_test[y_test == 0, 0], X_test[y_test == 0, 1], color='r')\n",
    "plt.scatter(X_test[y_test == 1, 0], X_test[y_test == 1, 1], color='b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 绘制KNN模型的决策区域"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
       "           metric_params=None, n_jobs=None, n_neighbors=5, p=2,\n",
       "           weights='uniform')"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "\n",
    "knn_clf = KNeighborsClassifier()\n",
    "knn_clf.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\CandyWall\\Anaconda3\\lib\\site-packages\\matplotlib\\contour.py:1000: UserWarning: The following kwargs were not used by contour: 'linewidth'\n",
      "  s)\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_boundary(knn_clf, axis=[4, 7.5, 1.5, 4.5])\n",
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='r')\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
       "           metric_params=None, n_jobs=None, n_neighbors=5, p=2,\n",
       "           weights='uniform')"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf_all = KNeighborsClassifier()\n",
    "knn_clf_all.fit(iris.data[:, :2], iris.target)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\CandyWall\\Anaconda3\\lib\\site-packages\\matplotlib\\contour.py:1000: UserWarning: The following kwargs were not used by contour: 'linewidth'\n",
      "  s)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_boundary(knn_clf_all, axis=[4, 8, 1.5, 4.5])\n",
    "plt.scatter(iris.data[iris.target == 0, 0], iris.data[iris.target == 0, 1], color='r')\n",
    "plt.scatter(iris.data[iris.target == 1, 0], iris.data[iris.target == 1, 1], color='b')\n",
    "plt.scatter(iris.data[iris.target == 2, 0], iris.data[iris.target == 2, 1], color='g')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
       "           metric_params=None, n_jobs=None, n_neighbors=50, p=2,\n",
       "           weights='uniform')"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf_all = KNeighborsClassifier(n_neighbors=50)\n",
    "knn_clf_all.fit(iris.data[:, :2], iris.target)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\CandyWall\\Anaconda3\\lib\\site-packages\\matplotlib\\contour.py:1000: UserWarning: The following kwargs were not used by contour: 'linewidth'\n",
      "  s)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_boundary(knn_clf_all, axis=[4, 8, 1.5, 4.5])\n",
    "plt.scatter(iris.data[iris.target == 0, 0], iris.data[iris.target == 0, 1], color='r')\n",
    "plt.scatter(iris.data[iris.target == 1, 0], iris.data[iris.target == 1, 1], color='b')\n",
    "plt.scatter(iris.data[iris.target == 2, 0], iris.data[iris.target == 2, 1], color='g')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 在逻辑回归中添加多项式特征"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 准备数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(666)\n",
    "X = np.random.normal(0, 1, size=(200, 2))\n",
    "y = np.array(X[:, 0] ** 2 + X[:, 1] ** 2 < 1.5, dtype='int')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='r')\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 使用逻辑回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [],
   "source": [
    "from logistic.LogisticRegression import LogisticRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression()"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_reg = LogisticRegression()\n",
    "log_reg.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.605"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_reg.score(X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "绘制决策区域"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_boundary(log_reg, axis=[-4, 4, -4, 4])\n",
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='r')\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看到基于线性逻辑回归模型绘制出的决策区域是不好的，所以接下来给逻辑回归训练数据添加多项式项。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 在线性回归中添加多项式项"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "def PolynomialLogisticRegression(degree):\n",
    "    return Pipeline([\n",
    "        (\"poly\", PolynomialFeatures(degree=degree)),\n",
    "        (\"std_scaler\", StandardScaler()),\n",
    "        (\"log_reg\", LogisticRegression())\n",
    "    ])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Pipeline(memory=None,\n",
       "     steps=[('poly', PolynomialFeatures(degree=2, include_bias=True, interaction_only=False)), ('std_scaler', StandardScaler(copy=True, with_mean=True, with_std=True)), ('log_reg', LogisticRegression())])"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_log_reg = PolynomialLogisticRegression(degree=2)\n",
    "poly_log_reg.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.95"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_log_reg.score(X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "绘制决策区域"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\CandyWall\\Anaconda3\\lib\\site-packages\\matplotlib\\contour.py:1000: UserWarning: The following kwargs were not used by contour: 'linewidth'\n",
      "  s)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_boundary(poly_log_reg, axis=[-4, 4, -4, 4])\n",
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='r')\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 过拟合问题"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font color=red>如果提高多项式的最高次数，可能会发生过拟合现象，使得最后绘制出来的决策边界变得很奇怪。</font>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Pipeline(memory=None,\n",
       "     steps=[('poly', PolynomialFeatures(degree=20, include_bias=True, interaction_only=False)), ('std_scaler', StandardScaler(copy=True, with_mean=True, with_std=True)), ('log_reg', LogisticRegression())])"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_log_reg2 = PolynomialLogisticRegression(degree=20)\n",
    "poly_log_reg2.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\CandyWall\\Anaconda3\\lib\\site-packages\\matplotlib\\contour.py:1000: UserWarning: The following kwargs were not used by contour: 'linewidth'\n",
      "  s)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_boundary(poly_log_reg2, axis=[-4, 4, -4, 4])\n",
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='r')\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 使用正则化解决过拟合问题"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 准备数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(666)\n",
    "\n",
    "X = np.random.normal(0, 1, size=(200, 2))\n",
    "y = np.array(X[:, 0] ** 2 + X[:, 1] < 1.5, dtype='int')\n",
    "\n",
    "for _ in range(20):\n",
    "    y[np.random.randint(200)] = 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='r')\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=666)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_decision_boundary(model, axis):\n",
    "    x0, x1 = np.meshgrid(\n",
    "        np.linspace(axis[0], axis[1], int((axis[1] - axis[0]) * 100)).reshape(-1, 1),\n",
    "        np.linspace(axis[2], axis[3], int((axis[3] - axis[2]) * 100)).reshape(-1, 1)\n",
    "    )\n",
    "    \n",
    "    X_new = np.c_[x0.ravel(), x1.ravel()]\n",
    "    \n",
    "    y_predict = model.predict(X_new)\n",
    "    zz = y_predict.reshape(x0.shape)\n",
    "    \n",
    "    from matplotlib.colors import ListedColormap\n",
    "    custom_cmap = ListedColormap(['#FFCCCC', '#FFFF99', '#CCCCFF'])\n",
    "    plt.contourf(x0, x1, zz, linewidth=5, cmap=custom_cmap)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 使用scikit-learn中的逻辑回归"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 线性逻辑回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\CandyWall\\Anaconda3\\lib\\site-packages\\sklearn\\linear_model\\logistic.py:433: FutureWarning: Default solver will be changed to 'lbfgs' in 0.22. Specify a solver to silence this warning.\n",
      "  FutureWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n",
       "          intercept_scaling=1, max_iter=100, multi_class='warn',\n",
       "          n_jobs=None, penalty='l2', random_state=None, solver='warn',\n",
       "          tol=0.0001, verbose=0, warm_start=False)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "\n",
    "log_reg = LogisticRegression()\n",
    "log_reg.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7933333333333333"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_reg.score(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.86"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_reg.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\CandyWall\\Anaconda3\\lib\\site-packages\\matplotlib\\contour.py:1000: UserWarning: The following kwargs were not used by contour: 'linewidth'\n",
      "  s)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_boundary(log_reg, axis=[-4, 4, -4, 4])\n",
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='r')\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 多项式逻辑回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "\n",
    "def PolynomialLogisticRegression(degree):\n",
    "    return Pipeline([\n",
    "        (\"poly\", PolynomialFeatures(degree=degree)),\n",
    "        (\"std_scaler\", StandardScaler()),\n",
    "        (\"log_reg\", LogisticRegression())\n",
    "    ])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\CandyWall\\Anaconda3\\lib\\site-packages\\sklearn\\linear_model\\logistic.py:433: FutureWarning: Default solver will be changed to 'lbfgs' in 0.22. Specify a solver to silence this warning.\n",
      "  FutureWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Pipeline(memory=None,\n",
       "     steps=[('poly', PolynomialFeatures(degree=2, include_bias=True, interaction_only=False)), ('std_scaler', StandardScaler(copy=True, with_mean=True, with_std=True)), ('log_reg', LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n",
       "          intercept_scaling=1, max_iter=100, multi_class='warn',\n",
       "          n_jobs=None, penalty='l2', random_state=None, solver='warn',\n",
       "          tol=0.0001, verbose=0, warm_start=False))])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_log_reg = PolynomialLogisticRegression(degree=2)\n",
    "poly_log_reg.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9133333333333333"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_log_reg.score(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.94"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_log_reg.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\CandyWall\\Anaconda3\\lib\\site-packages\\matplotlib\\contour.py:1000: UserWarning: The following kwargs were not used by contour: 'linewidth'\n",
      "  s)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_boundary(poly_log_reg, axis=[-4, 4, -4, 4])\n",
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='r')\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 提高多项式的最高次数演示过拟合问题"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\CandyWall\\Anaconda3\\lib\\site-packages\\sklearn\\linear_model\\logistic.py:433: FutureWarning: Default solver will be changed to 'lbfgs' in 0.22. Specify a solver to silence this warning.\n",
      "  FutureWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Pipeline(memory=None,\n",
       "     steps=[('poly', PolynomialFeatures(degree=20, include_bias=True, interaction_only=False)), ('std_scaler', StandardScaler(copy=True, with_mean=True, with_std=True)), ('log_reg', LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n",
       "          intercept_scaling=1, max_iter=100, multi_class='warn',\n",
       "          n_jobs=None, penalty='l2', random_state=None, solver='warn',\n",
       "          tol=0.0001, verbose=0, warm_start=False))])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_log_reg2 = PolynomialLogisticRegression(degree=20)\n",
    "poly_log_reg2.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.94"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_log_reg2.score(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.92"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_log_reg2.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\CandyWall\\Anaconda3\\lib\\site-packages\\matplotlib\\contour.py:1000: UserWarning: The following kwargs were not used by contour: 'linewidth'\n",
      "  s)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_boundary(poly_log_reg2, axis=[-4, 4, -4, 4])\n",
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='r')\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 调节正则化系数解决过拟合问题"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "def PolynomialLogisticRegression(degree, C):\n",
    "    return Pipeline([\n",
    "        (\"poly\", PolynomialFeatures(degree=degree)),\n",
    "        (\"std_scaler\", StandardScaler()),\n",
    "        (\"log_reg\", LogisticRegression(C=C))\n",
    "    ])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\CandyWall\\Anaconda3\\lib\\site-packages\\sklearn\\linear_model\\logistic.py:433: FutureWarning: Default solver will be changed to 'lbfgs' in 0.22. Specify a solver to silence this warning.\n",
      "  FutureWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Pipeline(memory=None,\n",
       "     steps=[('poly', PolynomialFeatures(degree=20, include_bias=True, interaction_only=False)), ('std_scaler', StandardScaler(copy=True, with_mean=True, with_std=True)), ('log_reg', LogisticRegression(C=0.1, class_weight=None, dual=False, fit_intercept=True,\n",
       "          intercept_scaling=1, max_iter=100, multi_class='warn',\n",
       "          n_jobs=None, penalty='l2', random_state=None, solver='warn',\n",
       "          tol=0.0001, verbose=0, warm_start=False))])"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_log_reg3 = PolynomialLogisticRegression(degree=20, C=0.1)\n",
    "poly_log_reg3.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8533333333333334"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_log_reg3.score(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.92"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_log_reg3.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\CandyWall\\Anaconda3\\lib\\site-packages\\matplotlib\\contour.py:1000: UserWarning: The following kwargs were not used by contour: 'linewidth'\n",
      "  s)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_boundary(poly_log_reg3, axis=[-4, 4, -4, 4])\n",
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='r')\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 修改正则项类型解决过拟合问题"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在C=0.1的基础上修改正则项的类型，查看决策区域的变化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "def PolynomialLogisticRegression(degree, C, penalty='l2'):\n",
    "    return Pipeline([\n",
    "        (\"poly\", PolynomialFeatures(degree=degree)),\n",
    "        (\"std_scaler\", StandardScaler()),\n",
    "        (\"log_reg\", LogisticRegression(C=C, penalty=penalty))\n",
    "    ])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\CandyWall\\Anaconda3\\lib\\site-packages\\sklearn\\linear_model\\logistic.py:433: FutureWarning: Default solver will be changed to 'lbfgs' in 0.22. Specify a solver to silence this warning.\n",
      "  FutureWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Pipeline(memory=None,\n",
       "     steps=[('poly', PolynomialFeatures(degree=20, include_bias=True, interaction_only=False)), ('std_scaler', StandardScaler(copy=True, with_mean=True, with_std=True)), ('log_reg', LogisticRegression(C=0.1, class_weight=None, dual=False, fit_intercept=True,\n",
       "          intercept_scaling=1, max_iter=100, multi_class='warn',\n",
       "          n_jobs=None, penalty='l1', random_state=None, solver='warn',\n",
       "          tol=0.0001, verbose=0, warm_start=False))])"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_log_reg3 = PolynomialLogisticRegression(degree=20, C=0.1, penalty='l1')\n",
    "poly_log_reg3.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8266666666666667"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_log_reg3.score(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_log_reg3.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\CandyWall\\Anaconda3\\lib\\site-packages\\matplotlib\\contour.py:1000: UserWarning: The following kwargs were not used by contour: 'linewidth'\n",
      "  s)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_boundary(poly_log_reg3, axis=[-4, 4, -4, 4])\n",
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='r')\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='b')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 使用逻辑回归解决多分类问题"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## OvR(One vs Rest)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 只使用两个特征进行模型训练"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 准备数据"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "先取出数据集中的两个特征进行模型的训练，方便绘图查看分类效果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import datasets\n",
    "\n",
    "iris = datasets.load_iris()\n",
    "X = iris.data[:, :2]\n",
    "y = iris.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(150, 2)"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X_train, X_test, y_train, y_test= train_test_split(X, y, random_state=666)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 训练模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LogisticRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n",
       "          intercept_scaling=1, max_iter=100, multi_class='ovr',\n",
       "          n_jobs=None, penalty='l2', random_state=None, solver='liblinear',\n",
       "          tol=0.0001, verbose=0, warm_start=False)"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_reg_ovr = LogisticRegression(multi_class='ovr', solver='liblinear')\n",
    "log_reg_ovr.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这里为了后面画图，只用了两个特征，分类的准确度还比较差"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6578947368421053"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_reg_ovr.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\CandyWall\\Anaconda3\\lib\\site-packages\\matplotlib\\contour.py:1000: UserWarning: The following kwargs were not used by contour: 'linewidth'\n",
      "  s)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_boundary(log_reg_ovr, axis=[4, 8.5, 1.5, 4.5])\n",
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='r')\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='b')\n",
    "plt.scatter(X[y == 2, 0], X[y == 2, 1], color='g')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 使用全部特征进行模型训练"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 准备数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import datasets\n",
    "\n",
    "iris = datasets.load_iris()\n",
    "X = iris.data\n",
    "y = iris.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(150, 4)"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X_train, X_test, y_train, y_test= train_test_split(X, y, random_state=666)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 训练模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LogisticRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n",
       "          intercept_scaling=1, max_iter=100, multi_class='ovr',\n",
       "          n_jobs=None, penalty='l2', random_state=None, solver='liblinear',\n",
       "          tol=0.0001, verbose=0, warm_start=False)"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_reg_ovr_all = LogisticRegression(multi_class='ovr', solver='liblinear')\n",
    "log_reg_ovr_all.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用了数据集的全部特征进行训练之后，分类准确度高多了"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9473684210526315"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_reg_ovr_all.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## OvO(One vs One)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 只使用两个特征进行模型训练"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 准备数据"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "先取出数据集中的两个特征进行模型的训练，方便绘图查看分类效果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import datasets\n",
    "\n",
    "iris = datasets.load_iris()\n",
    "X = iris.data[:, :2]\n",
    "y = iris.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(150, 2)"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X_train, X_test, y_train, y_test= train_test_split(X, y, random_state=666)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 训练模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LogisticRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n",
       "          intercept_scaling=1, max_iter=100, multi_class='multinomial',\n",
       "          n_jobs=None, penalty='l2', random_state=None, solver='newton-cg',\n",
       "          tol=0.0001, verbose=0, warm_start=False)"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_reg_ovo = LogisticRegression(multi_class='multinomial', solver='newton-cg')\n",
    "log_reg_ovo.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这里为了后面画图，只用了两个特征，分类的准确度还比较差"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7894736842105263"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_reg_ovo.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\CandyWall\\Anaconda3\\lib\\site-packages\\matplotlib\\contour.py:1000: UserWarning: The following kwargs were not used by contour: 'linewidth'\n",
      "  s)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_boundary(log_reg_ovo, axis=[4, 8.5, 1.5, 4.5])\n",
    "plt.scatter(X[y == 0, 0], X[y == 0, 1], color='r')\n",
    "plt.scatter(X[y == 1, 0], X[y == 1, 1], color='b')\n",
    "plt.scatter(X[y == 2, 0], X[y == 2, 1], color='g')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 使用全部特征进行模型训练"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 准备数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import datasets\n",
    "\n",
    "iris = datasets.load_iris()\n",
    "X = iris.data\n",
    "y = iris.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(150, 4)"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X_train, X_test, y_train, y_test= train_test_split(X, y, random_state=666)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 训练模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LogisticRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n",
       "          intercept_scaling=1, max_iter=100, multi_class='multinomial',\n",
       "          n_jobs=None, penalty='l2', random_state=None, solver='newton-cg',\n",
       "          tol=0.0001, verbose=0, warm_start=False)"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_reg_ovo_all = LogisticRegression(multi_class='multinomial', solver='newton-cg')\n",
    "log_reg_ovo_all.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用了数据集的全部特征进行训练之后，分类准确度居然达到了100%"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_reg_ovo_all.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 直接调用sklearn中封装的OvR and OvO分类库"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### OvR"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9473684210526315"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.multiclass import OneVsRestClassifier\n",
    "\n",
    "ovr = OneVsRestClassifier(log_reg_ovr_all)\n",
    "ovr.fit(X_train, y_train)\n",
    "ovr.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### OvO"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.multiclass import OneVsOneClassifier\n",
    "\n",
    "ovo = OneVsOneClassifier(log_reg_ovo_all)\n",
    "ovo.fit(X_train, y_train)\n",
    "ovo.score(X_test, y_test)"
   ]
  }
 ],
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